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GR: Fachverband Gravitation und Relativitätstheorie

GR 16: Hauptvorträge: Numerische Relativitätstheorie und Wurmlöcher

GR 16.2: Invited Talk

Friday, March 1, 2013, 10:00–10:45, HS 6

Spherical and cylindrical wormholes in general relativity — •Kirill Bronnikov — Center for Gravitation and Fundamental Metrology, VNIIMS, Ozyornaya 46, Moscow 119361, Russia — Institute of Gravitation and Cosmology, PFUR, ul. Miklukho-Maklaya 6, Moscow 117198, Russia

After a brief review of the current situation in wormhole physics, some recent results will be presented concerning wormhole models with spherical and cylindrical symmetries in general relativity. Among them are (i) some new wormhole models with electric and/or magnetic charges (and closely related regular black hole models, the so-called black universes); (ii) results on the stability of static, spherically symmetric wormholes; (iii) the existence conditions and properties of cylindrical wormholes with and without rotation. It has been shown, in particular, that rotation, representing a vortex gravitational field, can provide a cylindrical wormhole geometry without violating the standard energy conditions, but the main problem is that such geometries are not asymptotically flat. The latter is a necessary requirement if a wormhole should be seen as a local object by distant observers like ourselves. We try to solve this problem by matching the wormhole throat region with flat-space regions in a rotating reference frame. The junctions comprise thin shells co-rotating with the whole configuration, and their physical properties are analyzed.